Answer:
[tex]\huge\boxed{x = 8}[/tex]
Step-by-step explanation:
In order to solve for x, we need to note a few angle relationships here.
- A) Equations can be used to represent angle lengths as long as there is something else to reference it (such as a supplementary/congruent/etc. angle)
- B) When two parallel lines are cut by a transversal, the angle measures formed by the transversal will be the same.
Using these rules, we can start to figure out that the angle [tex]7x+3[/tex] is going to be congruent to the angle [tex]3x+35[/tex]. Since the angle measures will be the same, that means the value of x will also be the same. Therefore, we can set the two equations equal to each other and solve for x.
- [tex]7x + 3 = 3x+35[/tex]
- [tex]4x + 3 = 35[/tex]
- [tex]4x = 32[/tex]
- [tex]x = 8[/tex]
Hope this helped!
